Normal forms for singularities of one dimensional holomorphic vector fields
| dc.contributor.author | Garijo, Antonio | |
| dc.contributor.author | Gasull, Armengol | |
| dc.contributor.author | Jarque, Xavier | |
| dc.date.accessioned | 2021-05-14T16:41:44Z | |
| dc.date.available | 2021-05-14T16:41:44Z | |
| dc.date.issued | 2004-10-15 | |
| dc.description.abstract | We study the normal form of the ordinary differential equation ż = ƒ(z), z ∈ ℂ, in a neighbourhood of a point p ∈ ℂ, where ƒ is a one-dimensional holomorphic function in a punctured neighbourhood of p. Our results include all cases except when p is an essential singularity. We treat all the other situations, namely when p is a regular point, a pole or a zero of order n. Our approach is based on a formula that uses the flow associated with the differential equation to search for the change of variables that gives the normal form. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 7 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Garijo, A., Gasull, A., & Jarque, X. (2004). Normal forms for singularities of one dimensional holomorphic vector fields. <i>Electronic Journal of Differential Equations, 2004</i>(122), pp. 1-7. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13543 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Meromorphic vector field | |
| dc.subject | Holomorphic vector field | |
| dc.subject | Normal form | |
| dc.title | Normal forms for singularities of one dimensional holomorphic vector fields | |
| dc.type | Article |